GCF of 520/476, 688/553
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 520/476, 688/553 i.e 8/37604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 520/476, 688/553.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 520/476,688/553?
Given fractions are 520/476,688/553
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 520/476,688/553, numerators are 520,688
Denominators are 476,553
The GCF of 520,688 is 8 .
LCM of 476,553 is 37604.
The greatest common factor of 520/476,688/553 = [GCF of 520,688]/[LCM of 476,553]= 8/37604
Therefore, the GCF of 520/476,688/553 is 8/37604.
To find the highest common factor of 520,688, we have to find the factors of both numbers and list the highest common factor.
The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 520,688 is 8.
Lets's calculate GCF of 520,688
| 2 | 520, 688 |
| 2 | 260, 344 |
| 2 | 130, 172 |
| 65, 86 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 520,688 By Matching Biggest Common Factor Method
Now, list down the factors of 520
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 520,688 . The biggest common factor number is the GCF number.
So the greatest common factor 520,688 is 8.
Lets's calculate LCM of 476,553
| 7 | 476, 553 |
| 68, 79 |
∴ So the LCM of the given numbers is 7 x 68 x 79 = 37604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/37604
Therefore, the GCF of Fractions 520/476,688/553 is 8/37604
Least Common Multiple of 476,553 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 476,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,553) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(476,553) x common factors =7 x 1 = 7
LCM(476,553) = ( 476 × 553 ) / 7
LCM(476,553) = 263228 / 7
LCM(476,553) = 37604
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 520/476, 688/553
1. What is the HCF of 520,688?
The HCF of 520,688 is 8
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 520/476, 688/553?
Answer: GCF of Numerators as per given numbers 520/476, 688/553 is
GCF of Numerators i.e. for 520,688 is 8
LCM of denominators i.e. for 476,553 is 37604.
Thus, GCF of Fractions is 8/37604.Finally, GCF of Fractions for 520/476, 688/553 is 8/37604.